Question

Please don't solve! Just need help!
Consider the equation y=150(2^x). 1) Make a table of x and y-values for whole number x-values from 0 to 5. 2) What do the numbers 150 and 2 in the equation tell you about the relationship? Need help with both 1 and 2!! Please help and explain like you are explaining it to a really slow person.....Cuz im slow....

Answer 1

ok replace x by 0 and what do you get?

Answer 2

150...

Answer 3

\[y=150\times 2^x\] is the equation, replace x by 0 and get
\[y=150\times 2^0\] recall that it is always true that
\[b^0=1\] so you have
\[y=150\times 1=150\]

Answer 4

the number 150 tells you what you get when you start at x = 0, so if you are going to graph, you know that the point (0,150) will be on the graph

Answer 5

now replace x by 1 and get
\[y=150\times 2^1=150\times 2=300\] so we know that every increase by 1 in x will double the y value

Answer 6

and double again when we replace x by 2 to get
\[y=150\times 2^2=150\times 4=600\]

Answer 7

What would the setup of the table be? Like this?

Answer 8

you can set it up like that, yes

Answer 9

actually no, not a good idea!

Answer 10

or this?